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5586141704004 = 22323129721312
BaseRepresentation
bin101000101001001111111…
…1111011110111101000100
3201210000210211010210200100
41101102133333132331010
51213010404234012004
615514123231244100
71114404541016631
oct121223777367504
921700724123610
105586141704004
1118640843a8174
1276276b679630
13316a03898714
141545292bd188
159a495aec739
hex5149ffdef44

5586141704004 has 243 divisors, whose sum is σ = 14856088442013. Its totient is φ = 1769790297600.

The previous prime is 5586141703997. The next prime is 5586141704009. The reversal of 5586141704004 is 4004071416855.

The square root of 5586141704004 is 2363502.

It is a perfect power (a square), and thus also a powerful number.

5586141704004 is a `hidden beast` number, since 5 + 586 + 14 + 17 + 0 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2508390764100 + 3077750939904 = 1583790^2 + 1754352^2 .

It is not an unprimeable number, because it can be changed into a prime (5586141704009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42642303019 + ... + 42642303149.

Almost surely, 25586141704004 is an apocalyptic number.

5586141704004 is the 2363502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5586141704004

5586141704004 is an abundant number, since it is smaller than the sum of its proper divisors (9269946738009).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5586141704004 is a wasteful number, since it uses less digits than its factorization.

5586141704004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 5586141704004 in words is "five trillion, five hundred eighty-six billion, one hundred forty-one million, seven hundred four thousand, four".